Determine the number of solutions based on the graph for the following system of equations.

2x + 5y = 7
10y = −4x + 14

Question

Determine the number of solutions based on the graph for the following system of equations.

2x + 5y = 7
10y = −4x + 14

***[isuru]*** · Answer

hi,
   let's take
        2x + 5y = 7
now let's make it a little familiar...
        5y = 7 -2x
          y = 7/5 - (2x)/5
      now plot it...

  let's move to the other one...
       10 y = -4x + 14
          y = -(4x)/10 + 14/10
           y = - (2x)/5 + 7/5
It's the same one as before...

    plot it in the same graph....

so u will have 2 exactly same lines... which means there will be infinite amount of solutions

 hope this helps!

anonymous · Answer

we have Infinite ways !
Look at this easy equation :
4x=8
we can say :
x=8/4
x=16/8
and ...;)
So we have a answer !;)

***[isuru]*** · Answer

E.ali I agree with u... but the question asks to find the no.of equations using a graph...So we have no choice but to draw graphs... but if the questions asked to find the no. of solutions using any method... then definitely ur method is the best !!!